Answer:
fog = 2√(x-1) + 1
Domain = [1,
)
Step-by-step explanation:
Given the functions f(x)=2x+1 and g(x)=sqrt(x-1), we are to find the composite function fog
fog = f(g(x))
f(g(x)) = f(√(x-1))
f(√(x+1)) means that we are to replace variable x in f(x) with the function √(x-1)
f(√(x-1)) = 2(√(x-1))+1
f(√(x+1)) = 2√(x-1) + 1
fog = 2√(x-1) + 1
<em>For the function to exist on any real valued function, then the function inside square root i.e x-1 must be greater than or equal to zero (x-1≥0)</em>
If x-1≥0
x≥0+1
x≥1
This means the range of variable x must be values of x greater than or equal to 1.
Domain = [1,
)
- 3 + 3x = 2x – 13
Bring -3 to the right side of the equation by adding 3 to both sides
(- 3 + 3) + 3x = 2x – 13 + 3
0 + 3x = 2x - 10
3x = 2x - 10
Bring 2x to the other side by subtracting 2x to both sides
3x - 2x = 2x - 2x - 10
x = -10
Check:
-3 + 3(-10) = 2(-10) - 13
-3 + (-30) = -20 - 13
-33 = -33
Hope this helped!
~Just a girl in love with Shawn Mendes
They're allowed to join for $15. And for every event, they have to pay $3.
3x = 21
x = 7
Someone who has $36 can attend 7 events.
Answer:
In order to ride on the ride an individual must be at least 4 feet tall.
This means that the individual must be equal to 4 ¾ feet tall.
h = 4 ⅓
and the individual could be greater than 4¾ feet tall.
h > 4 ¾
So the individual could be greater than and equal to 4¾ feet tall.
h ≥ 4¾